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Finding the Fourth Proportional to 5,744.16, 8,620.20 and 2,281.68

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Solution

The fourth proportional to 5,744.16, 8,620.20 and 2,281.68 is: 3,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.16 : 8,620.20 = 2,281.68 : x
  2. Step 2: Convert to fraction form
    5,744.16/8,620.20 = 2,281.68/x
  3. Step 3: Cross multiply
    5,744.16x = 8,620.20 × 2,281.68
  4. Step 4: Simplify right side
    5,744.16x = 19,668,537.94
  5. Step 5: Solve for x
    x = 19,668,537.94/5,744.16
  6. Step 6: Final answer
    x = 3,424.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.